Reproducing kernel Hilbert space method for nonlinear boundary-value problems
| dc.authorid | Karatas Akgul, Esra/0000-0003-3205-2393 | |
| dc.contributor.author | Akgul, Esra Karatas | |
| dc.date.accessioned | 2024-12-24T19:24:12Z | |
| dc.date.available | 2024-12-24T19:24:12Z | |
| dc.date.issued | 2018 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | Reproducing kernel Hilbert spacemethod is given for nonlinear boundary-value problems in this paper. Applying this technique, we establish a new algorithm to approximate the solution of such nonlinear boundary-value problems. This technique does not need any background mesh and can easily be applied. In this technique, the solution is given in the form of a series. Representation of the solutions is obtained in the reproducing kernel Hilbert space. Additionally, the convergence of the presented method is demonstrated. Numerical examples are presented to show the ability of the method. We compare the reproducing kernel Hilbert space method with B-spline collocation method. As seen in the tables, the reproducing kernel Hilbert space method gives better results. | |
| dc.identifier.doi | 10.1002/mma.5102 | |
| dc.identifier.endpage | 9151 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 18 | |
| dc.identifier.scopus | 2-s2.0-85057476280 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 9142 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5102 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/5896 | |
| dc.identifier.volume | 41 | |
| dc.identifier.wos | WOS:000452611500055 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.relation.ispartof | Mathematical Methods in The Applied Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | nonlinear boundary-value problems | |
| dc.subject | reproducing kernel Hilbert space method | |
| dc.subject | series solutions | |
| dc.title | Reproducing kernel Hilbert space method for nonlinear boundary-value problems | |
| dc.type | Article |
